The Quaternion Short-Time Linear Canonical Transform(QSTLCT) was introduced by Zhu and Zheng, which is a generalization of the Short-Time Linear Canonical Transform(STLCT) in the quaternion algebra setting[1]}. Let \(\mu _1,\mu _2\)  and \(\mu _3\)  (or equivalently i,j,k) denote the three imaginary units in quaternion algebra.
